Verified Answer :

apologiabiology

an arythmetic sequence involves addition and subtraction exg
2,4,6,8,10 ( +2)
10,8,6,4,2 (-2)

a geometric sequence involves multiplication or division exg
2,4,8,16 ( times 2)
16,8,4,2 (divide 2)


it is a geometric sequence because it involves multiplication

Answer: It is a geometric series.

Step-by-step explanation:

Since we have given that

\(16,8,4,2,...\)

Here,

a = first term = 16

r = common ratio is given by

\(\frac{a_2}{a_1}=\frac{8}{16}=\frac{1}{2}=\frac{4}{8}\)

So, it becomes geometric progression, as it has common ratio rather than common difference.

Hence, it is a geometric series.